After he successfully finds the murderer, he is reluctantly required by his supervisors to stay on as the detective inspector (DI) of the island,Death in Paradise Seasons 1-3 DVD solving new cases as they appear.At the start of Series 3, Poole is killed, and maladroit London detective Humphrey Goodman (Kris Marshall) arrives to investigate the death of his strait-laced predecessor. He then stays in the job as chief investigator on the island. The British detectives work alongside the local Saint Marie police team to track down murderers.British detective Richard Poole (Ben Miller) is assigned to investigate a murder on the fictional paradise island of Saint Marie in the Caribbean.